Question

Solve the given equation for $y$: $\frac{1-9y}{19-3y}=\frac{5}{8}$.

• A. $-\frac{66}{103}$
• B. $\frac{38}{73}$
• C. $-\frac{87}{57}$
• D. None of these

Answer 1

The correct option is C $-\frac{87}{57}$

Given, $\frac{1-9y}{19-3y}=\frac{5}{8}$
Cross multiplying, we get
$8(1-9y)=5(19-3y)$

$\Rightarrow 8-72y=95-15y$
$\Rightarrow 8-95=-15y+72y$

$\Rightarrow -87=57y$

$\Rightarrow y=-\frac{87}{57}$.
Hence, required solution is $y=-\frac{87}{57}$.